This is a preview of subscription content, log in via an institution to check access.
References
Chatterji, S. D.: Martingales of Banach-valued random variables. Bull. Am. Math. Soc.66, 395–398 (1960).
Doob, J. L.: Stochastic processes. New York: Wiley 1953.
Driml, M., andO. Hans: Conditional expectations for generalized random variables. Transactions of the Second Prague Conference on Information Theory, Statistical Decision Functions and Random Processes (1960).
Dunford, N., andJ. T. Schwartz: Linear operators, part I, Interscience, N.Y. (1958).
Helms, L. L.: Mean convergence of martingales. Trans. Am. Math. Soc.87, (1958).
Hille, E., andR. S. Phillips: Functional analysis and semi-groups. Amer. Math. Soc. Coll. Publ.31 (Revised edition) (1957).
Jacobs, K.: Neuere Methoden und Ergebnisse der Ergodentheorie. Berlin-Göttingen-Heidelberg: Springer-Verlag 1960.
Scalora, F. S.: Abstract martingale convergence theorems. Pacific J. Math.11, 347–374 (1961).
Schwartz, J. T., andA. Beck: A vector-valued random ergodic theorem. Proc. Am. Math. Soc.8, 1049–1059 (1957).
Tulcea, A. I., andC. I. Tulcea: Abstract ergodic theorems. Proc. Nat. Acad. Sci. U.S.48, 204–206 (1962).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chatterji, S.D. A note on the convergence of Banach-space valued martingales. Math. Ann. 153, 142–149 (1964). https://doi.org/10.1007/BF01361182
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01361182